基于模糊滑模控制的分数阶耦合系统同步研究

Synchronization of fractional-order coupled systems based on fuzzy sliding mode control

为研究一类带有双重不确定项的分数阶耗损型变形耦合发电机系统的同步问题,在驱动系统与响应系统为不同阶数的情况下,基于自适应滑模控制设计出非奇异分数阶终端滑模控制器,解决了驱动系统与响应系统的同步。为削弱因切换增益引入导致的抖振,加入基于专家经验的模糊控制,通过Lyapunov稳定性定理验证误差系统最终达到稳定,并采用数值仿真的方法检验控制器性能。研究结果表明:该控制策略具有较强的鲁棒性,且可使驱动系统与响应系统达到同步。

In order to study the synchronization problem of a class of fractional-order lossy deformable coupled generator system with double uncertainties,a non-singular fractional-order terminal sliding mode controller is designed based on the theories of adaptive sliding mode control.The controller solves the synchronization problem of the driving system and the response system.To weaken the jitter caused by the introduction of switching gain,fuzzy control based on expert experience was added.The Lyapunov stability theorem was used to verify that the error system was finally stable.Finally,the performance of the controller was verified through numerical simulation.The results show that the controller designed based on the adaptive fuzzy sliding mode control strategy has strong robustness and can synchronize the drive system and the response system.